Energy consideration of the T(x) model of hysteresis

Abstract

Purpose

The paper sets out to develop the T(x) model, based on well known principles and using the free energy of the ferromagnetic binary system as a starting point.

Design/methodology/approach

With the inclusion of the coercive and the intermolecular forces the model fully describes the hysteretic process for both major and minor loops, with exchange field between adjacent magnetic moments.

Findings

The paper formulates the dependence of the hysteretic system's normalised free energy on parameters such as the temperature, coercivity, other magnetic and materials properties of the ferromagnetic medium.

Research limitations/implications

Experimental verification will still be needed as to the accuracy of the model and the applicability to the various magnetic materials.

Practical implications

The paper provides an easy mathematical and visual method to present the energy state and its variation of the magnetic materials during magnetisation, including non‐saturation conditions. It has a great value to people engaged in theoretical research in magnetism.

Originality/value

So far free energy calculations were only possible for major hysteresis loops. The T(x) model, as presented here, is applicable to the calculation of the free energy flow of any symmetrical minor loops as well.

Citation

Takacs, J. (2005), "Energy consideration of the T(x) model of hysteresis", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 1, pp. 220-228. https://doi.org/10.1108/03321640510571200